2 lnt and y: where 1

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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a) A curve is given by the parametric equations
1
where 1 <t< 3.
= 2 lnt and
%3D
i. If L is the length of the curve, show that
L=
V4t2 +1 dt.
1
ii. Using substitution t =sinh a, or otherwise, find the value of L correct
to four decimal places.
Transcribed Image Text:a) A curve is given by the parametric equations 1 where 1 <t< 3. = 2 lnt and %3D i. If L is the length of the curve, show that L= V4t2 +1 dt. 1 ii. Using substitution t =sinh a, or otherwise, find the value of L correct to four decimal places.
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